What is the 2563rd prime number?
The 2563rd prime number is 22973. The next prime is 22993 (a gap of 20) and the one before is 22963.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2563rd one is 22973.
- 2
22973 is prime because no prime up to ā22973 ā 151.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2563rd prime is close to 2563 Ć ln(2563) ā 20117, and here it is 22973.
- 4
22973 has no twin: neither 22971 nor 22975 is prime.
Primes around the 2563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2560 | 22943 | 6 |
| 2561 | 22961 | 18 |
| 2562 | 22963 | 2 |
| 2563 | 22973 | 10 |
| 2564 | 22993 | 20 |
| 2565 | 23003 | 10 |
| 2566 | 23011 | 8 |
Questions
What is the 2563rd prime number?
22973.
Which prime number is 22973?
22973 is the 2563rd prime number.
What is the sum of the first 2563 primes?
27,638,466.